Math Problem Statement

When one coin is​ tossed, the probability of landing heads is one half 1 2. Assuming the coin is​ fair, what does that statement​ mean? Question content area bottom Part 1 Choose the correct answer below. A. If two coins are​ tossed, the outcome will be 1 head and 1 tail because there are only two sides to the coin. B. If two coins are​ tossed, the outcome will be 1 head and 1 tail because the probability of both heads and tails is one half 1 2. C. If 1000 coins are​ tossed, there is no way to predict the precise number of heads that will be​ generated, though it will probably be close to 500 because it is impossible to get exactly 500 heads. D. If 1000 coins are​ tossed, there is no way to predict the precise number of heads that will be​ generated, though it will probably be close to 500 because probability does not guarantee certain results. E. If 100 coins are​ tossed, the outcome will be 50 heads and 50 tails because the probability of both heads and tails is one half 1 2.

Solution

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Math Problem Analysis

Mathematical Concepts

Probability
Random Variables
Expected Value

Formulas

P(Heads) = 1/2
Expected value for n coin tosses = n * P(Heads)

Theorems

Law of Large Numbers

Suitable Grade Level

Grades 6-8